Geodesic
Kinetics of systems with crystal structure
Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 3, pp. 456-468 
N. M. Lavrinenko; S. V. Peletminskii; Yu. V. Slusarenko. Kinetics of systems with crystal structure. Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 3, pp. 456-468. http://geodesic.mathdoc.fr/item/TMF_1982_53_3_a11/
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     title = {Kinetics of systems with crystal structure},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The method of ergodic relations is used in conjunction with quasi-averages to find the nonequilibrium statistical operator of weakly homogeneous states of a crystal corresponding to the “hydrodynamic” stage of evolution. An important role in the construction is played by the procedure of additional averaging over the unit cell of the crystal. Expressions are obtained for the adiabatic moduli of elasticity, the viscous stress tensor, and the thermal conductivity tensor.

[1] Bogolyubov N. N., Kvazisrednie v zadachakh statisticheskoi mekhaniki, Preprint 1451, OIYaI, Dubna, 1963

[2] Akhiezer A. I., Peletminskii S. V., Metody statisticheskoi fiziki, Nauka, M., 1977 | MR

[3] Peletminskii S. V., Tsukanov V. D., TMF, 6:2 (1971), 238–256

[4] Pokrovsky I. A., Sergeev M. V., Physica, 70 (1973), 62 | DOI